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Q3. (a) Make q the subject of the following formula: pq/(p/q + 1/q) = q² - 1 (8)

(b) A ship’s fuel consumption varies as the square of the speed and indirectly as the calorific value of the fuel.

If the ship burns 30 tonnes of fuel per day, of calorific value 41 MJ/kg, when sailing at 13 knots, calculate the daily consumption when using fuel of calorific value 45 MJ/kg and sailing at 15 knots. (8)